Almost Periodic Motions of Dynamical Systems

Abstract

In the first chapter, for our examination of semigroup dynamical systems, we introduce and study different kinds of Poisson stability of motions and their comparability by the nature of the recurrence relations: Bohr/Levitan almost periodicity, almost automorphy, Bebutov almost recurrence, Birkhoff recurrence, pseudorecurrence, and other types of Poisson stability and the relationships between them.